1 citations · 1 across the 5 of their papers we have counts for
5 papers
Nonconforming virtual element method for the Monge-Ampère equation
Scott Congreve, Alice Hodson, Anwesh Pradhan
In this article, we develop the -nonconforming -conforming virtual element method (VEM) for the vanishing moment approximation of the second-order fully nonlinear Monge-A…
A posteriori error analysis of the virtual element method for second-order quasilinear elliptic PDEs
Scott Congreve, Alice Hodson
In this paper we develop a -conforming virtual element method (VEM) for a class of second-order quasilinear elliptic PDEs in two dimensions. We present a posteriori error anal…
A framework for implementing general virtual element spaces
Andreas Dedner, Alice Hodson
In this paper we present a framework for the construction and implementation of general virtual element spaces based on projections built from constrained least squares problems. B…
A higher order nonconforming virtual element method for the Cahn-Hilliard equation
Andreas Dedner, Alice Hodson
In this paper we develop a fully nonconforming virtual element method (VEM) of arbitrary approximation order for the two dimensional Cahn-Hilliard equation. We carry out the error…
Robust nonconforming virtual element methods for general fourth order problems with varying coefficients
Andreas Dedner, Alice Hodson
We present a class of nonconforming virtual element methods for general fourth order partial differential equations in two dimensions. We develop a generic approach for constructin…